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Recent Developments in Fractals and Related Fields Conference on Fractals and Related Fields IV, île de Porquerolles, France, 2022 /

This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions co...

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Bibliografiske detaljer
Institution som forfatter: SpringerLink (Online service)
Andre forfattere: Barral, Julien (Editor), Batakis, Athanasios (Editor), Seuret, Stéphane (Editor)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Udgivelse:1st ed. 2025.
Serier:Trends in Mathematics,
Fag:
Measure theory.
Dynamical systems.
Number theory.
Probabilities.
Harmonic analysis.
Measure and Integration.
Dynamical Systems.
Number Theory.
Probability Theory.
Abstract Harmonic Analysis.
Online adgang:https://doi.org/10.1007/978-3-031-80453-3
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Indholdsfortegnelse:
  • Amir Algom and Meng Wu: Large slices through self affine carpets
  • Demi Allen and Edouard Daviaud: A survey of recent extensions and generalisations of the Mass Transference Principle
  • Peter Arzt and Uta Freiberg: Spectral Exponents of Gap Diffusions on Random Homogeneous Cantor-Sets
  • Athanasios Batakis, Nga Nguyen and Michel Zinsmeister: A new Model of City Growth and its Application to a middle sized French City
  • Wejdene Ben Nasr, Véronique Billat, Stéphane Jaffard,, Florent Palacin and Guillaume Saës: The weak scaling multifractal spectrum: Mathematical setting and applications to marathon runners physiological data
  • Argyrios Christodoulou and Natalia Jurga: Self-projective sets
  • Hervé Queffélec and Martine Queffélec: Old and new results on the Furstenberg sets
  • Michael Hochman: On the analytic self-maps of Cantor sets in the line
  • Xiong Jin: A Chung-Fuchs type theorem for skew product dynamical systems
  • Sabrina Kombrink and Lucas Schmidt: Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake
  • Eugen Mihailescu: Exact dimensional measures in deterministic and random systems
  • Tuomas Sahlsten: Fourier transforms and iterated function systems
  • Nicolas de Saxcé: A presentation of the discretized sum-product in division algebras
  • Xavier Tolsa: Carleson’s 𝜀2 conjecture in higher dimensions and Faber-Krahn inequalities.

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